A deck of playing cards has 52 cards. 26 are red and 26 are black. There are 4 suits (diamond, heart, club, spade). The cards are numbered Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. This means that each suit contains 13 cards. A face card is defined to be a Jack, Queen or King. Choose cards at random with replacement until a Queen is chosen. a) What is the probability that more than 3 cards must be chosen